On the Residuality a Finite Group of HNN-Extensions

2007/01/18 by Д. И. Молдаванский, D. I. Moldavanskii, Moldavanskii, D. I.
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Rings, Modules, and Algebras #math.GR #msc:20E06 #msc:20E26

paper · pdf · doi:10.48550/arxiv.math/0701498

12 pages. This is a translation from Russian of the paper published in Vestnik of Ivanovo State University, 2000, issue 3, p. 129-140

arxiv created 2007/01/18 · arxiv updated 2009/12/01

Abstract

A criterion for the HNN-extension of a finite p-group to be residually a finite p-group is obtained and based on this criterion the sufficient condition for residuality a finite p-group of HNN-extension with arbitrary base group is proved. Then these results are applied to give for groups from two classes of one-relator groups the necessary and sufficient condition to be residually a finite p-group.

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